In 1962 Fuller and Wheeler [1]} first coined the term `wormhole' to define a tunnel-like connection
between two different points of spacetime in the same universe or two different universes. The wormhole is physically
represented by a set of the mathematical solution obtained by solving the Einstein Field Equations (EFEs) found by Einstein
himself along with Rosen [2]}. In this study, we have dealt with a particular kind of traversable Lorentzian
wormhole supported by exotic tachyon matter. Wormholes obtained from General Relativity (GR), residing in a Lorentzian
manifold are known as Lorentzian wormholes. However, they often appear to be unstable in the absence of exotic matter
at the throat violating the null energy condition (NEC) in GR [3]}. Macroscopic wormholes of Lorentzian signature
may act as traversable shortcuts in spacetime, allowing the intriguing possibility of time-travel, thus acting
as potential time-machines [4]}, [5]}, [6]}. Fuller and Wheeler [1]} argued that the solutions obtained from the
EFE were unstable as the wormhole would be pinched-off at the throat and thus any signal would be trapped in the infinite
curvature region which makes the wormhole non-traversable.
